6TH AND 7TH -MATHS -NUMBERS BASIC -1

HOME (NMMS)

MAIN PAGE OLYMPIAD

📘 Class 6TH AND 7TH Olympiad – 10 Advanced Fractions MCQs

1. Which of the following fractions is strictly greater than 1/2?

12/25 14/27 15/31

✅ Answer: B (14/27)

💡 Explanation: Half of 27 is 13.5. Since the numerator 14 is greater than 13.5, 14/27 is greater than 1/2. For 12/25 and 15/31, the numerators are less than half of their respective denominators.

2. A fraction is equivalent to 3/4. If the sum of its numerator and denominator is 35, what is its numerator?

15 20 12

✅ Answer: A (15)

💡 Explanation: Let the fraction be 3x / 4x. The sum is 3x + 4x = 7x = 35, which gives x = 5. Therefore, the numerator is 3 × 5 = 15.

3. If you subtract a non-zero proper fraction from its reciprocal, the result is always:

Less than 0 Greater than 0 Equal to 0

✅ Answer: B (Greater than 0)

💡 Explanation: A proper fraction is less than 1, so its reciprocal is greater than 1. Subtracting a smaller positive number from a larger number always yields a positive result (> 0).

4. How many fifths are contained in the mixed number 3 2/5?

17 15 7

✅ Answer: A (17)

💡 Explanation: Converting 3 2/5 to an improper fraction gives (3 × 5 + 2)/5 = 17/5. Hence, there are 17 fifths in total.

5. What fraction must be added to 3/8 to get 1 1/4?

7/8 5/8 3/4

✅ Answer: A (7/8)

💡 Explanation: Convert 1 1/4 to an improper fraction: 5/4 = 10/8. Subtracting 3/8 gives: 10/8 − 3/8 = 7/8.

6. A rope of length 5 1/2 meters is cut into equal pieces of length 1/4 meter each. How many pieces are obtained?

22 20 11

✅ Answer: A (22)

💡 Explanation: Divide the total length by piece length: (11/2) ÷ (1/4) = (11/2) × 4 = 22 pieces.

7. If 2/3 of a number is 24, what is 3/4 of the same number?

27 36 18

✅ Answer: A (27)

💡 Explanation: Let the number be N. (2/3) × N = 24 ⇒ N = 24 × (3/2) = 36. Now, 3/4 of 36 is (3/4) × 36 = 27.

8. Which pair of fractions gives the same product as 2/3 × 3/5?

2/5 × 1 3/5 × 3/2 1/3 × 4/5

✅ Answer: A (2/5 × 1)

💡 Explanation: Simplifying 2/3 × 3/5 gives 2/5. Evaluating Option A: 2/5 × 1 = 2/5, which is equal.

9. What is the value of (1 − 1/2) × (1 − 1/3) × (1 − 1/4)?

1/4 1/2 3/4

✅ Answer: A (1/4)

💡 Explanation: Simplify each parenthesis: (1/2) × (2/3) × (3/4). Multiplying these together causes terms to cancel out, leaving 1/4.

10. Arrange the fractions 2/3, 3/5, and 7/10 in ascending order:

3/5 < 2/3 < 7/10 2/3 < 3/5 < 7/10 3/5 < 7/10 < 2/3

✅ Answer: A (3/5 < 2/3 < 7/10)

💡 Explanation: Converting to common denominator 30: 3/5 = 18/30, 2/3 = 20/30, 7/10 = 21/30. Ordering from smallest to largest gives 18/30 < 20/30 < 21/30 (3/5 < 2/3 < 7/10).